LMS: 286 Clifford Algebras and Spinors 2ed (London Mathematical Society Lecture Note Series, Series Number 286)

Lounesto

ISBN 10: 0521005515 / ISBN 13: 9780521005517

Edité par Cambridge University Press, 2008

A propos de cet article

A clean, bright and tight copy of 338pp including index. no markings or inscriptions. A very good condition copy.

N° de réf. du vendeur 2297

Détails bibliographiques

• Titre: LMS: 286 Clifford Algebras and Spinors 2ed (London Mathematical Society Lecture Note Series, Series Number 286)
• Éditeur: Cambridge University Press
• Date de parution: 2008
• Langue: anglais
• ISBN à 10 chiffres: 0521005515
• ISBN à 13 chiffres: 9780521005517
• Reliure: Soft cover
• Édition: 2nd Edition
• État de l'article: Very Good

A propos de ce titre

Synopsis

In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey of recent research on Clifford algebras. A new classification of spinors is introduced, based on bilinear covariants of physical observables. This reveals a new class of spinors, residing between the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are discussed, and Caucy's integral formula is generalized to higher dimensions.